6533b85dfe1ef96bd12bf067

RESEARCH PRODUCT

An Exact Riemann Solver for Multidimensional Special Relativistic Hydrodynamics

Ewald MuellerJosé A. PonsJosé-maría Martí

subject

PhysicsRoe solverShock wavesymbols.namesakeRiemann problemExact solutions in general relativityOrdinary differential equationMathematical analysissymbolsJumpAstrophysicsRiemann's differential equationRiemann solver

description

We have generalised the exact solution of the Riemann problem in special relativistic hydrodynamics (Marti and Muller, 1994) for arbitrary tangential flow velocities. The solution is obtained by solving the jump conditions across shocks plus an ordinary differential equation arising from the self-similarity condition along rarefaction waves, in a similar way as in purely normal flow. This solution has been used to build up an exact Riemann solver implemented in a multidimensional relativistic (Godunov-type) hydro-code.

yearjournalcountryeditionlanguage
2001-01-01
https://doi.org/10.1007/978-1-4615-0663-8_71